SOLUTION: Find the length of the hypotenuse if the length of the legs are 6 inches and 6 inches. The length of the hypotenuse is inches.

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Question 1202603: Find the length of the hypotenuse if the length of the legs are 6 inches and 6 inches.
The length of the hypotenuse is inches.

Found 3 solutions by mananth, math_tutor2020, MathTherapy:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
pythagoas theorem
a^2+b^2=c^2 c is hypotenuse
6^2+6^2= 72= c^2
c= sqrt%2872%29
c= 6%2Asqrt%282%29 inches

Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

a = 6
b = 6
c = unknown hypotenuse

a%5E2%2Bb%5E2=c%5E2 pythagorean theorem

c+=+sqrt%28a%5E2%2Bb%5E2%29

c+=+sqrt%286%5E2%2B6%5E2%29

c+=+sqrt%282%2A6%5E2%29

c+=+sqrt%282%29%2Asqrt%286%5E2%29

c+=+sqrt%282%29%2A6

c+=+6%2Asqrt%282%29 The exact hypotenuse length

c+=+8.48528 This value is approximate

For any 45-45-90 triangle, aka isosceles right triangle, the hypotenuse is equal to L%2Asqrt%282%29 where L = leg length

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!
Find the length of the hypotenuse if the length of the legs are 6 inches and 6 inches.

The length of the hypotenuse is inches.

In any right-angled isosceles (both legs are congruent) triangle, the length of the hypotenuse 
is ALWAYS, .

In this case, length of hypotenuse =